Variational compatibility of force laws

Martin Mráz and Jana Musilová


Abstract. The paper presents a simplified version of conditions for the variational compatibility of general forces in equations of motions of physical systems with the finite number of degrees of freedom. The forces are classified with respect to their transformation properties, and the classification is discussed from the physical point-of-view.

AMSclassification. 49H05, 70H35

Keywords. Inverse variational problem, variational force laws